\( 1 \leftarrow \quad \begin{array}{l}\text { Solve. } \\ \sqrt{9 x-2}-5=0\end{array} \)

To solve the equation \( \sqrt{9x - 2} - 5 = 0 \), we can start by isolating the square root. This gives us \( \sqrt{9x - 2} = 5 \). Next, we square both sides to eliminate the square root, resulting in \( 9x - 2 = 25 \). Now, add 2 to both sides: \( 9x = 27 \). Finally, divide by 9 to find \( x = 3 \). Remember to check your solution! Substituting \( x = 3 \) back into the original equation, \( \sqrt{9(3) - 2} - 5 = \sqrt{27 - 2} - 5 = \sqrt{25} - 5 = 5 - 5 = 0 \), confirms that our solution works perfectly!